106030199318400 has 5376 divisors, whose sum is σ = 490507005542400. Its totient is φ = 22122558259200.

The previous prime is 106030199318377. The next prime is 106030199318497. The reversal of 106030199318400 is 4813991030601.

106030199318400 is a `hidden beast` number, since 1 + 0 + 603 + 0 + 1 + 9 + 9 + 31 + 8 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×106030199318400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 834883459137 + ... + 834883459263.

It is an arithmetic number, because the mean of its divisors is an integer number (91240142400).

Almost surely, 2^{106030199318400} is an apocalyptic number.

106030199318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106030199318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245253502771200).

106030199318400 is an abundant number, since it is smaller than the sum of its proper divisors (384476806224000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106030199318400 is a wasteful number, since it uses less digits than its factorization.

106030199318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106030199318400 in words is "one hundred six trillion, thirty billion, one hundred ninety-nine million, three hundred eighteen thousand, four hundred".